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Finding the Fourth Proportional to 5,743.10, 8,613.93 and 3,656.90

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Solution

The fourth proportional to 5,743.10, 8,613.93 and 3,656.90 is: 5,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.10 : 8,613.93 = 3,656.90 : x
  2. Step 2: Convert to fraction form
    5,743.10/8,613.93 = 3,656.90/x
  3. Step 3: Cross multiply
    5,743.10x = 8,613.93 × 3,656.90
  4. Step 4: Simplify right side
    5,743.10x = 31,500,280.62
  5. Step 5: Solve for x
    x = 31,500,280.62/5,743.10
  6. Step 6: Final answer
    x = 5,484.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.